EPR-entangled Bose-Einstein condensates in state-dependent potentials: a dynamical study

Hadrien Kurkjian (1) , Krzysztof Pawłowski (2) , Alice Sinatra (3)

1 TQC - Theory of Quantum systems and Complex systems
2 Center for Theoretical Physics, Polish Academy of Sciences
3 LKB (Lhomond) - Laboratoire Kastler Brossel

We study generation of non-local correlations by atomic interactions in a pair of bi-modal Bose-Einstein Condensates in state-dependent potentials including spatial dynamics. The wave-functions of the four components are described by combining a Fock state expansion with a time-dependent Hartree-Fock Ansatz, so that both the spatial dynamics and the local and non-local quantum correlations are accounted for. We find that despite the spatial dynamics, our protocole generates enough non-local entanglement to perform an EPR steering experiment with two spatially separated con-densates of a few thousands of atoms.

Mots clés: numbers: 0375Gg; 0365Ud; 0375Mn; 4250Dv

Domaines: Physique Quantique [quant-ph]; Agrégats Moléculaires et Atomiques [physics.atm-clus]; Gaz Quantiques [cond-mat.quant-gas]; Physique Atomique [physics.atom-ph]

Hadrien Kurkjian, Krzysztof Pawłowski, Alice Sinatra. EPR-entangled Bose-Einstein condensates in state-dependent potentials: a dynamical study. Physical Review A : Atomic, molecular, and optical physics [1990-2015], 2017, ⟨10.1103/PhysRevA.96.013621⟩. ⟨hal-01500360v2⟩